10202200210201 has 8 divisors (see below), whose sum is σ = 10277081443080. Its totient is φ = 10127324957568.

The previous prime is 10202200210141. The next prime is 10202200210231. The reversal of 10202200210201 is 10201200220201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1195304890000 + 9006895320201 = 1093300^2 + 3001149^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10202200210201 - 2²³ = 10202191821593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10202200210231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1958595 + ... + 4923463.

It is an arithmetic number, because the mean of its divisors is an integer number (1284635180385).

Almost surely, 2^{10202200210201} is an apocalyptic number.

It is an amenable number.

10202200210201 is a deficient number, since it is larger than the sum of its proper divisors (74881232879).

10202200210201 is a wasteful number, since it uses less digits than its factorization.

10202200210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990123.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10202200210201 its reverse (10201200220201), we get a palindrome (20403400430402).

The spelling of 10202200210201 in words is "ten trillion, two hundred two billion, two hundred million, two hundred ten thousand, two hundred one".